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Finding the Third Proportional to 40,085 and 63,470

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Solution

The third proportional to 40,085 and 63,470 is: 100,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,085 : 63,470 = 63,470 : x
  2. Step 2: Convert to fraction form
    40,085/63,470 = 63,470/x
  3. Step 3: Cross multiply
    40,085x = 63,470 × 63,470
  4. Step 4: Simplify right side
    40,085x = 4,028,440,900
  5. Step 5: Solve for x
    x = 4,028,440,900/40,085
  6. Step 6: Final answer
    x = 100,497.47

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.